λ
Ratio Atlas
Atlas › Integer Profiles › Node 82,004,643
82,004,643
34 × 7 × 144629
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 7 × 144629
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 140,001,840
Proper Divisor Sum 57,997,197
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #82004603 ← → #82004653

Radix Representation

Decimal 82004643
Binary 100111000110100101010100011 (27 bits)
Octal 0o470645243
Hexadecimal 0x4E34AA3

Divisor Catalog (20)

1 3 7 9 21 27 63 81 189 567 144,629 433,887 1,012,403 1,301,661 3,037,209 3,904,983 9,111,627 11,714,949 27,334,881 82,004,643

Collatz Trajectory (215 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

82,004,643 246,013,930 123,006,965 369,020,896 184,510,448 92,255,224 46,127,612 23,063,806 11,531,903 34,595,710 17,297,855 51,893,566 25,946,783 77,840,350 38,920,175 116,760,526 58,380,263 175,140,790 87,570,395 262,711,186 131,355,593 394,066,780 197,033,390 98,516,695 295,550,086 147,775,043 443,325,130 221,662,565 664,987,696 332,493,848 166,246,924 83,123,462 41,561,731 124,685,194 62,342,597 187,027,792 93,513,896 46,756,948 23,378,474 11,689,237 35,067,712 17,533,856 8,766,928 4,383,464 2,191,732 1,095,866 547,933 1,643,800 821,900 410,950 205,475 616,426 308,213 924,640 462,320 231,160 115,580 57,790 28,895 86,686

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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